Search a number
-
+
303101313130 = 257112271132049
BaseRepresentation
bin1000110100100100011…
…11110000000001101010
31001222100122121001120101
410122102033300001222
514431222414010010
6351124241020014
730620063436520
oct4322217600152
91058318531511
10303101313130
111075a9875800
124a8b002460a
13227754c6535
1410954d9c310
157d3eab673a
hex46923f006a

303101313130 has 96 divisors (see below), whose sum is σ = 687893875200. Its totient is φ = 94123814400.

The previous prime is 303101313113. The next prime is 303101313131. The reversal of 303101313130 is 31313101303.

It is a happy number.

It is a super-2 number, since 2×3031013131302 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 303101313098 and 303101313107.

It is not an unprimeable number, because it can be changed into a prime (303101313131) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2229346 + ... + 2361394.

It is an arithmetic number, because the mean of its divisors is an integer number (7165561200).

Almost surely, 2303101313130 is an apocalyptic number.

303101313130 is an abundant number, since it is smaller than the sum of its proper divisors (384792562070).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

303101313130 is a wasteful number, since it uses less digits than its factorization.

303101313130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132356 (or 132345 counting only the distinct ones).

The product of its (nonzero) digits is 243, while the sum is 19.

Adding to 303101313130 its reverse (31313101303), we get a palindrome (334414414433).

The spelling of 303101313130 in words is "three hundred three billion, one hundred one million, three hundred thirteen thousand, one hundred thirty".

Divisors: 1 2 5 7 10 11 14 22 35 55 70 77 110 121 154 242 271 385 542 605 770 847 1210 1355 1694 1897 2710 2981 3794 4235 5962 8470 9485 14905 18970 20867 29810 32791 41734 65582 104335 132049 163955 208670 229537 264098 327910 459074 660245 924343 1147685 1320490 1452539 1848686 2295370 2905078 4621715 7262695 9243430 10167773 14525390 15977929 20335546 31955858 35785279 50838865 71570558 79889645 101677730 111845503 159779290 178926395 223691006 250496953 357852790 393638069 500993906 559227515 787276138 1118455030 1252484765 1968190345 2504969530 2755466483 3936380690 4330018759 5510932966 8660037518 13777332415 21650093795 27554664830 30310131313 43300187590 60620262626 151550656565 303101313130